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12011122004 = 2271922577297
BaseRepresentation
bin10110010111110101…
…10010110101010100
31011000002001012212112
423023322302311110
5144044321401004
65303504010152
7603434565260
oct131372626524
934002035775
1012011122004
115103a68812
1223b2600958
131195559cab
1481d2b50a0
154a471ae6e
hex2cbeb2d54

12011122004 has 24 divisors (see below), whose sum is σ = 25286573760. Its totient is φ = 4876695936.

The previous prime is 12011121973. The next prime is 12011122007. The reversal of 12011122004 is 40022111021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 12011122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11288117 + ... + 11289180.

It is an arithmetic number, because the mean of its divisors is an integer number (1053607240).

Almost surely, 212011122004 is an apocalyptic number.

12011122004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12011122004 is an abundant number, since it is smaller than the sum of its proper divisors (13275451756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011122004 is a wasteful number, since it uses less digits than its factorization.

12011122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22577327 (or 22577325 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12011122004 its reverse (40022111021), we get a palindrome (52033233025).

The spelling of 12011122004 in words is "twelve billion, eleven million, one hundred twenty-two thousand, four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 22577297 45154594 90309188 158041079 316082158 428968643 632164316 857937286 1715874572 3002780501 6005561002 12011122004